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Finding the Fourth Proportional to 24,727, 34,123.26 and 14,791

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Solution

The fourth proportional to 24,727, 34,123.26 and 14,791 is: 20,411.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,727 : 34,123.26 = 14,791 : x
  2. Step 2: Convert to fraction form
    24,727/34,123.26 = 14,791/x
  3. Step 3: Cross multiply
    24,727x = 34,123.26 × 14,791
  4. Step 4: Simplify right side
    24,727x = 504,717,138.66
  5. Step 5: Solve for x
    x = 504,717,138.66/24,727
  6. Step 6: Final answer
    x = 20,411.58

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.